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4 Commits
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137c5a89dd
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137c5a89dd
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2b68e98dd1
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f1a4cf4a24
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137, 1.0000000000e+00, 1.0000000000e+00
|
||||
138, 1.0000000000e+00, 1.0000000000e+00
|
||||
139, 1.0000000000e+00, 1.0000000000e+00
|
||||
140, 1.0000000000e+00, 1.0000000000e+00
|
||||
141, 1.0000000000e+00, 1.0000000000e+00
|
||||
142, 1.0000000000e+00, 1.0000000000e+00
|
||||
143, 1.0000000000e+00, 1.0000000000e+00
|
||||
144, 1.0000000000e+00, 1.0000000000e+00
|
||||
145, 1.0000000000e+00, 1.0000000000e+00
|
||||
146, 1.0000000000e+00, 1.0000000000e+00
|
||||
147, 1.0000000000e+00, 1.0000000000e+00
|
||||
148, 1.0000000000e+00, 1.0000000000e+00
|
||||
149, 1.0000000000e+00, 1.0000000000e+00
|
||||
150, 1.0000000000e+00, 1.0000000000e+00
|
||||
151, 1.0000000000e+00, 1.0000000000e+00
|
||||
152, 1.0000000000e+00, 1.0000000000e+00
|
||||
153, 1.0000000000e+00, 1.0000000000e+00
|
||||
154, 1.0000000000e+00, 1.0000000000e+00
|
||||
155, 1.0000000000e+00, 1.0000000000e+00
|
||||
156, 1.0000000000e+00, 1.0000000000e+00
|
||||
157, 1.0000000000e+00, 1.0000000000e+00
|
||||
158, 1.0000000000e+00, 1.0000000000e+00
|
||||
159, 1.0000000000e+00, 1.0000000000e+00
|
||||
160, 1.0000000000e+00, 1.0000000000e+00
|
||||
161, 1.0000000000e+00, 1.0000000000e+00
|
||||
162, 1.0000000000e+00, 1.0000000000e+00
|
||||
163, 1.0000000000e+00, 1.0000000000e+00
|
||||
164, 1.0000000000e+00, 1.0000000000e+00
|
||||
165, 1.0000000000e+00, 1.0000000000e+00
|
||||
166, 1.0000000000e+00, 1.0000000000e+00
|
||||
167, 1.0000000000e+00, 1.0000000000e+00
|
||||
168, 1.0000000000e+00, 1.0000000000e+00
|
||||
169, 1.0000000000e+00, 1.0000000000e+00
|
||||
170, 1.0000000000e+00, 1.0000000000e+00
|
||||
171, 1.0000000000e+00, 1.0000000000e+00
|
||||
172, 1.0000000000e+00, 1.0000000000e+00
|
||||
173, 1.0000000000e+00, 1.0000000000e+00
|
||||
174, 1.0000000000e+00, 1.0000000000e+00
|
||||
175, 1.0000000000e+00, 1.0000000000e+00
|
||||
176, 1.0000000000e+00, 1.0000000000e+00
|
||||
177, 1.0000000000e+00, 1.0000000000e+00
|
||||
178, 1.0000000000e+00, 1.0000000000e+00
|
||||
179, 1.0000000000e+00, 1.0000000000e+00
|
||||
180, 1.0000000000e+00, 1.0000000000e+00
|
||||
181, 1.0000000000e+00, 1.0000000000e+00
|
||||
182, 1.0000000000e+00, 1.0000000000e+00
|
||||
183, 1.0000000000e+00, 1.0000000000e+00
|
||||
184, 1.0000000000e+00, 1.0000000000e+00
|
||||
185, 1.0000000000e+00, 1.0000000000e+00
|
||||
186, 1.0000000000e+00, 1.0000000000e+00
|
||||
187, 1.0000000000e+00, 1.0000000000e+00
|
||||
188, 1.0000000000e+00, 1.0000000000e+00
|
||||
189, 1.0000000000e+00, 1.0000000000e+00
|
||||
190, 1.0000000000e+00, 1.0000000000e+00
|
||||
191, 1.0000000000e+00, 1.0000000000e+00
|
||||
192, 1.0000000000e+00, 1.0000000000e+00
|
||||
193, 1.0000000000e+00, 1.0000000000e+00
|
||||
194, 1.0000000000e+00, 1.0000000000e+00
|
||||
195, 1.0000000000e+00, 1.0000000000e+00
|
||||
196, 1.0000000000e+00, 1.0000000000e+00
|
||||
197, 1.0000000000e+00, 1.0000000000e+00
|
||||
198, 1.0000000000e+00, 1.0000000000e+00
|
||||
199, 1.0000000000e+00, 1.0000000000e+00
|
||||
200, 1.0000000000e+00, 1.0000000000e+00
|
||||
201, 1.0000000000e+00, 1.0000000000e+00
|
||||
202, 1.0000000000e+00, 1.0000000000e+00
|
||||
203, 1.0000000000e+00, 1.0000000000e+00
|
||||
204, 1.0000000000e+00, 1.0000000000e+00
|
||||
205, 1.0000000000e+00, 1.0000000000e+00
|
||||
206, 1.0000000000e+00, 1.0000000000e+00
|
||||
207, 1.0000000000e+00, 1.0000000000e+00
|
||||
208, 1.0000000000e+00, 1.0000000000e+00
|
||||
209, 1.0000000000e+00, 1.0000000000e+00
|
||||
210, 1.0000000000e+00, 1.0000000000e+00
|
||||
211, 1.0000000000e+00, 1.0000000000e+00
|
||||
212, 1.0000000000e+00, 1.0000000000e+00
|
||||
213, 1.0000000000e+00, 1.0000000000e+00
|
||||
214, 1.0000000000e+00, 1.0000000000e+00
|
||||
215, 1.0000000000e+00, 1.0000000000e+00
|
||||
216, 1.0000000000e+00, 1.0000000000e+00
|
||||
217, 1.0000000000e+00, 1.0000000000e+00
|
||||
218, 1.0000000000e+00, 1.0000000000e+00
|
||||
219, 1.0000000000e+00, 1.0000000000e+00
|
||||
220, 1.0000000000e+00, 1.0000000000e+00
|
||||
221, 1.0000000000e+00, 1.0000000000e+00
|
||||
222, 1.0000000000e+00, 1.0000000000e+00
|
||||
223, 1.0000000000e+00, 1.0000000000e+00
|
||||
224, 1.0000000000e+00, 1.0000000000e+00
|
||||
225, 1.0000000000e+00, 1.0000000000e+00
|
||||
226, 1.0000000000e+00, 1.0000000000e+00
|
||||
227, 1.0000000000e+00, 1.0000000000e+00
|
||||
228, 1.0000000000e+00, 1.0000000000e+00
|
||||
229, 1.0000000000e+00, 1.0000000000e+00
|
||||
230, 1.0000000000e+00, 1.0000000000e+00
|
||||
231, 1.0000000000e+00, 1.0000000000e+00
|
||||
232, 1.0000000000e+00, 1.0000000000e+00
|
||||
233, 1.0000000000e+00, 1.0000000000e+00
|
||||
234, 1.0000000000e+00, 1.0000000000e+00
|
||||
235, 1.0000000000e+00, 1.0000000000e+00
|
||||
236, 1.0000000000e+00, 1.0000000000e+00
|
||||
237, 1.0000000000e+00, 1.0000000000e+00
|
||||
238, 1.0000000000e+00, 1.0000000000e+00
|
||||
239, 1.0000000000e+00, 1.0000000000e+00
|
||||
240, 1.0000000000e+00, 1.0000000000e+00
|
||||
241, 1.0000000000e+00, 1.0000000000e+00
|
||||
242, 1.0000000000e+00, 1.0000000000e+00
|
||||
243, 1.0000000000e+00, 1.0000000000e+00
|
||||
244, 1.0000000000e+00, 1.0000000000e+00
|
||||
245, 1.0000000000e+00, 1.0000000000e+00
|
||||
246, 1.0000000000e+00, 1.0000000000e+00
|
||||
247, 1.0000000000e+00, 1.0000000000e+00
|
||||
248, 1.0000000000e+00, 1.0000000000e+00
|
||||
249, 1.0000000000e+00, 1.0000000000e+00
|
||||
250, 1.0000000000e+00, 1.0000000000e+00
|
||||
251, 1.0000000000e+00, 1.0000000000e+00
|
||||
252, 1.0000000000e+00, 1.0000000000e+00
|
||||
253, 1.0000000000e+00, 1.0000000000e+00
|
||||
254, 1.0000000000e+00, 1.0000000000e+00
|
||||
255, 1.0000000000e+00, 1.0000000000e+00
|
||||
256, 1.0000000000e+00, 1.0000000000e+00
|
||||
257, 1.0000000000e+00, 1.0000000000e+00
|
||||
258, 1.0000000000e+00, 1.0000000000e+00
|
||||
259, 1.0000000000e+00, 1.0000000000e+00
|
||||
260, 1.0000000000e+00, 1.0000000000e+00
|
||||
261, 1.0000000000e+00, 1.0000000000e+00
|
||||
262, 1.0000000000e+00, 1.0000000000e+00
|
||||
263, 1.0000000000e+00, 1.0000000000e+00
|
||||
264, 1.0000000000e+00, 1.0000000000e+00
|
||||
265, 1.0000000000e+00, 1.0000000000e+00
|
||||
266, 1.0000000000e+00, 1.0000000000e+00
|
||||
267, 1.0000000000e+00, 1.0000000000e+00
|
||||
268, 1.0000000000e+00, 1.0000000000e+00
|
||||
269, 1.0000000000e+00, 1.0000000000e+00
|
||||
270, 1.0000000000e+00, 1.0000000000e+00
|
||||
271, 1.0000000000e+00, 1.0000000000e+00
|
||||
272, 1.0000000000e+00, 1.0000000000e+00
|
||||
273, 1.0000000000e+00, 1.0000000000e+00
|
||||
274, 1.0000000000e+00, 1.0000000000e+00
|
||||
275, 1.0000000000e+00, 1.0000000000e+00
|
||||
276, 1.0000000000e+00, 1.0000000000e+00
|
||||
277, 1.0000000000e+00, 1.0000000000e+00
|
||||
278, 1.0000000000e+00, 1.0000000000e+00
|
||||
279, 1.0000000000e+00, 1.0000000000e+00
|
||||
280, 1.0000000000e+00, 1.0000000000e+00
|
||||
281, 1.0000000000e+00, 1.0000000000e+00
|
||||
282, 1.0000000000e+00, 1.0000000000e+00
|
||||
283, 1.0000000000e+00, 1.0000000000e+00
|
||||
284, 1.0000000000e+00, 1.0000000000e+00
|
||||
285, 1.0000000000e+00, 1.0000000000e+00
|
||||
286, 1.0000000000e+00, 1.0000000000e+00
|
||||
287, 1.0000000000e+00, 1.0000000000e+00
|
||||
288, 1.0000000000e+00, 1.0000000000e+00
|
||||
289, 1.0000000000e+00, 1.0000000000e+00
|
||||
290, 1.0000000000e+00, 1.0000000000e+00
|
||||
291, 1.0000000000e+00, 1.0000000000e+00
|
||||
292, 1.0000000000e+00, 1.0000000000e+00
|
||||
293, 1.0000000000e+00, 1.0000000000e+00
|
||||
294, 1.0000000000e+00, 1.0000000000e+00
|
||||
295, 1.0000000000e+00, 1.0000000000e+00
|
||||
296, 1.0000000000e+00, 1.0000000000e+00
|
||||
297, 1.0000000000e+00, 1.0000000000e+00
|
||||
298, 1.0000000000e+00, 1.0000000000e+00
|
||||
299, 1.0000000000e+00, 1.0000000000e+00
|
||||
300, 1.0000000000e+00, 1.0000000000e+00
|
||||
301, 1.0000000000e+00, 1.0000000000e+00
|
||||
302, 1.0000000000e+00, 1.0000000000e+00
|
||||
303, 1.0000000000e+00, 1.0000000000e+00
|
||||
304, 1.0000000000e+00, 1.0000000000e+00
|
||||
305, 1.0000000000e+00, 1.0000000000e+00
|
||||
306, 1.0000000000e+00, 1.0000000000e+00
|
||||
307, 1.0000000000e+00, 1.0000000000e+00
|
||||
308, 1.0000000000e+00, 1.0000000000e+00
|
||||
309, 1.0000000000e+00, 1.0000000000e+00
|
||||
310, 1.0000000000e+00, 1.0000000000e+00
|
||||
311, 1.0000000000e+00, 1.0000000000e+00
|
||||
312, 1.0000000000e+00, 1.0000000000e+00
|
||||
313, 1.0000000000e+00, 1.0000000000e+00
|
||||
314, 1.0000000000e+00, 1.0000000000e+00
|
||||
315, 1.0000000000e+00, 1.0000000000e+00
|
||||
316, 1.0000000000e+00, 1.0000000000e+00
|
||||
317, 1.0000000000e+00, 1.0000000000e+00
|
||||
318, 1.0000000000e+00, 1.0000000000e+00
|
||||
319, 1.0000000000e+00, 1.0000000000e+00
|
||||
|
||||
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
@ -26,20 +26,26 @@ protected:
|
||||
double dt;
|
||||
double T;
|
||||
|
||||
void build_A();
|
||||
void build_B();
|
||||
void initialize_U(double x_c, double y_c, double sigma_x, double sigma_y,
|
||||
double p_x, double p_y);
|
||||
void build_V(double thickness, double pos_x, double aperture_separation,
|
||||
double aperture, uint32_t slits);
|
||||
public:
|
||||
int32_t N;
|
||||
arma::cx_mat V;
|
||||
arma::cx_mat U;
|
||||
arma::sp_cx_mat A;
|
||||
WaveSimulation(double h, double dt, double T);
|
||||
virtual void solve(std::ofstream& ofile);
|
||||
void build_A();
|
||||
void build_B();
|
||||
void initialize_U(double x_c, double y_c, double sigma_x, double sigma_y,
|
||||
double p_x, double p_y);
|
||||
WaveSimulation(double h, double dt, double T, double x_c, double y_c,
|
||||
double sigma_x, double sigma_y, double p_x, double p_y,
|
||||
double thickness, double pos_x, double ap_sep, double ap,
|
||||
uint32_t slits);
|
||||
WaveSimulation(double h, double dt, double T, double x_c, double y_c,
|
||||
double sigma_x, double sigma_y, double p_x, double p_y);
|
||||
virtual void solve(std::ofstream &ofile);
|
||||
void write_U(std::ofstream &ofile);
|
||||
void step();
|
||||
void build_V(double thickness, double pos_x, double aperture_sparation, double aperture, uint32_t slits);
|
||||
};
|
||||
|
||||
#endif
|
||||
|
||||
BIN
latex/images/color_map_0.pdf
Normal file
BIN
latex/images/color_map_0.pdf
Normal file
Binary file not shown.
BIN
latex/images/color_map_1.pdf
Normal file
BIN
latex/images/color_map_1.pdf
Normal file
Binary file not shown.
BIN
latex/images/color_map_2.pdf
Normal file
BIN
latex/images/color_map_2.pdf
Normal file
Binary file not shown.
BIN
latex/images/double_slit_detector.pdf
Normal file
BIN
latex/images/double_slit_detector.pdf
Normal file
Binary file not shown.
BIN
latex/images/probability_deviation.pdf
Normal file
BIN
latex/images/probability_deviation.pdf
Normal file
Binary file not shown.
BIN
latex/images/single_slit_detector.pdf
Normal file
BIN
latex/images/single_slit_detector.pdf
Normal file
Binary file not shown.
BIN
latex/images/triple_slit_detector.pdf
Normal file
BIN
latex/images/triple_slit_detector.pdf
Normal file
Binary file not shown.
@ -18,17 +18,36 @@
|
||||
#include <cstdint>
|
||||
#include <cstdlib>
|
||||
|
||||
WaveSimulation::WaveSimulation(double h, double dt, double T)
|
||||
WaveSimulation::WaveSimulation(double h, double dt, double T, double x_c,
|
||||
double y_c, double sigma_x, double sigma_y,
|
||||
double p_x, double p_y, double thickness,
|
||||
double pos_x, double ap_sep, double ap,
|
||||
uint32_t slits)
|
||||
{
|
||||
this->dt = dt;
|
||||
this->h = h;
|
||||
this->T = T;
|
||||
this->M = 1. / h;
|
||||
this->N = M - 2;
|
||||
this->V.set_size(this->N, this->N);
|
||||
this->V.fill(0.);
|
||||
this->U.set_size(this->N, this->N);
|
||||
this->U.fill(0.);
|
||||
this->build_V(thickness, pos_x, ap_sep, ap, slits);
|
||||
this->initialize_U(x_c, y_c, sigma_x, sigma_y, p_x, p_y);
|
||||
this->build_A();
|
||||
this->build_B();
|
||||
}
|
||||
|
||||
WaveSimulation::WaveSimulation(double h, double dt, double T, double x_c, double y_c,
|
||||
double sigma_x, double sigma_y, double p_x, double p_y)
|
||||
{
|
||||
this->dt = dt;
|
||||
this->h = h;
|
||||
this->T = T;
|
||||
this->M = 1. / h;
|
||||
this->N = M - 2;
|
||||
this->build_V(0.,0.,0.,0., 0);
|
||||
this->initialize_U(x_c, y_c, sigma_x, sigma_y, p_x, p_y);
|
||||
this->build_A();
|
||||
this->build_B();
|
||||
|
||||
}
|
||||
|
||||
void WaveSimulation::solve(std::ofstream &ofile)
|
||||
@ -43,7 +62,6 @@ void WaveSimulation::solve(std::ofstream &ofile)
|
||||
|
||||
void WaveSimulation::step()
|
||||
{
|
||||
DEBUG("Inside step");
|
||||
arma::cx_vec tmp = this->B * this->U.as_col();
|
||||
arma::spsolve(this->U, this->A, tmp);
|
||||
}
|
||||
@ -111,6 +129,7 @@ void WaveSimulation::build_B()
|
||||
void WaveSimulation::initialize_U(double x_c, double y_c, double sigma_x,
|
||||
double sigma_y, double p_x, double p_y)
|
||||
{
|
||||
this->U.set_size(this->N, this->N);
|
||||
double x, y, diff_x, diff_y;
|
||||
std::complex<double> sum = 0.;
|
||||
for (size_t j = 0; j < this->U.n_cols; j++) {
|
||||
@ -145,25 +164,42 @@ void WaveSimulation::build_V(double thickness, double pos_x,
|
||||
double aperture_separation, double aperture,
|
||||
uint32_t slits)
|
||||
{
|
||||
uint32_t mid_y = this->N / 2 - (this->N % 2 == 0);
|
||||
this->V.set_size(this->N, this->N);
|
||||
this->V.fill(0.);
|
||||
if (slits == 0) {
|
||||
return;
|
||||
}
|
||||
arma::cx_vec res;
|
||||
|
||||
if (slits % 2 == 0) {
|
||||
res = arma::cx_vec(aperture_separation/this->h,arma::fill::value(1e10));
|
||||
for (size_t i=0; i < slits; i+=2) {
|
||||
res = arma::join_cols(res, arma::cx_vec(aperture/this->h,arma::fill::zeros));
|
||||
res = arma::join_cols(arma::cx_vec(aperture/this->h,arma::fill::zeros), res);
|
||||
res = arma::join_cols(res, arma::cx_vec(aperture_separation/this->h,arma::fill::value(1e10)));
|
||||
res = arma::join_cols(arma::cx_vec(aperture_separation/this->h,arma::fill::value(1e10)), res);
|
||||
res = arma::cx_vec(aperture_separation / this->h,
|
||||
arma::fill::value(1e10));
|
||||
for (size_t i = 0; i < slits; i += 2) {
|
||||
res = arma::join_cols(
|
||||
res, arma::cx_vec(aperture / this->h, arma::fill::zeros));
|
||||
res = arma::join_cols(
|
||||
arma::cx_vec(aperture / this->h, arma::fill::zeros), res);
|
||||
res =
|
||||
arma::join_cols(res, arma::cx_vec(aperture_separation / this->h,
|
||||
arma::fill::value(1e10)));
|
||||
res = arma::join_cols(arma::cx_vec(aperture_separation / this->h,
|
||||
arma::fill::value(1e10)),
|
||||
res);
|
||||
}
|
||||
}
|
||||
else {
|
||||
res = arma::cx_vec(aperture/this->h,arma::fill::value(0));
|
||||
for (size_t i=0; i < slits-1; i+=2) {
|
||||
res = arma::join_cols(res, arma::cx_vec(aperture_separation/this->h,arma::fill::value(1e10)));
|
||||
res = arma::join_cols(arma::cx_vec(aperture_separation/this->h,arma::fill::value(1e10)), res);
|
||||
res = arma::join_cols(res, arma::cx_vec(aperture/this->h,arma::fill::zeros));
|
||||
res = arma::join_cols(arma::cx_vec(aperture/this->h,arma::fill::zeros), res);
|
||||
res = arma::cx_vec(aperture / this->h, arma::fill::value(0));
|
||||
for (size_t i = 0; i < slits - 1; i += 2) {
|
||||
res =
|
||||
arma::join_cols(res, arma::cx_vec(aperture_separation / this->h,
|
||||
arma::fill::value(1e10)));
|
||||
res = arma::join_cols(arma::cx_vec(aperture_separation / this->h,
|
||||
arma::fill::value(1e10)),
|
||||
res);
|
||||
res = arma::join_cols(
|
||||
res, arma::cx_vec(aperture / this->h, arma::fill::zeros));
|
||||
res = arma::join_cols(
|
||||
arma::cx_vec(aperture / this->h, arma::fill::zeros), res);
|
||||
}
|
||||
}
|
||||
if (res.size() > this->N) {
|
||||
@ -171,10 +207,11 @@ void WaveSimulation::build_V(double thickness, double pos_x,
|
||||
}
|
||||
uint32_t fill = (this->N - res.size()) / 2;
|
||||
res = arma::join_cols(arma::cx_vec(fill, arma::fill::value(1e10)), res);
|
||||
res = arma::join_cols(res, arma::cx_vec(fill + ((this->N - res.size()) % 2), arma::fill::value(1e10)));
|
||||
res = arma::join_cols(res, arma::cx_vec(fill + ((this->N - res.size()) % 2),
|
||||
arma::fill::value(1e10)));
|
||||
|
||||
uint32_t start = pos_x/this->h - thickness/this->h/2;
|
||||
for (size_t i=0; i < thickness/this->h; i++) {
|
||||
this->V.col(start+i) = res;
|
||||
uint32_t start = pos_x / this->h - thickness / this->h / 2;
|
||||
for (size_t i = 0; i < thickness / this->h; i++) {
|
||||
this->V.col(start + i) = res;
|
||||
}
|
||||
}
|
||||
|
||||
26
python_scripts/colormap.py
Normal file
26
python_scripts/colormap.py
Normal file
@ -0,0 +1,26 @@
|
||||
import numpy as np
|
||||
import matplotlib.pyplot as plt
|
||||
import ast
|
||||
import seaborn as sns
|
||||
|
||||
sns.set_theme()
|
||||
|
||||
def plot():
|
||||
with open("data/color_map.txt") as f:
|
||||
lines = f.readlines();
|
||||
size = int(lines[0])
|
||||
for i, line in enumerate(lines[1:]):
|
||||
fig, ax = plt.subplots()
|
||||
arr = line.strip().split("\t")
|
||||
arr = np.asarray(list(map(lambda x: ((a := complex(*ast.literal_eval(x)))*a.conjugate()).real, arr)))
|
||||
|
||||
arr = arr.reshape(size,size)
|
||||
|
||||
ax.imshow(arr.T, interpolation="nearest")
|
||||
plt.savefig(f"latex/images/color_map_{i}.pdf")
|
||||
plt.close(fig)
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
plot()
|
||||
|
||||
41
python_scripts/detector.py
Normal file
41
python_scripts/detector.py
Normal file
@ -0,0 +1,41 @@
|
||||
import numpy as np
|
||||
import matplotlib.pyplot as plt
|
||||
import ast
|
||||
import seaborn as sns
|
||||
|
||||
sns.set_theme()
|
||||
|
||||
def plot():
|
||||
files = [
|
||||
"data/screen/single_slit.txt",
|
||||
"data/screen/double_slit.txt",
|
||||
"data/screen/triple_slit.txt",
|
||||
]
|
||||
outputs = [
|
||||
"latex/images/single_slit_detector.pdf",
|
||||
"latex/images/double_slit_detector.pdf",
|
||||
"latex/images/triple_slit_detector.pdf",
|
||||
]
|
||||
for file, output in zip(files, outputs):
|
||||
with open(file) as f:
|
||||
lines = f.readlines();
|
||||
size = int(lines[0])
|
||||
column = int(.8 * size)
|
||||
fig, ax = plt.subplots()
|
||||
arr = lines[1].strip().split("\t")
|
||||
arr = np.asarray(list(map(lambda x: complex(*ast.literal_eval(x)), arr)))
|
||||
|
||||
arr = arr.reshape(size,size)
|
||||
x = np.linspace(0,1, size)
|
||||
slice = arr[column, :]
|
||||
norm = 1. / np.sqrt(sum([(i*i.conjugate()).real for i in slice]))
|
||||
slice *= norm
|
||||
slice = np.asarray([i * i.conjugate() for i in slice])
|
||||
|
||||
ax.plot(x, slice)
|
||||
plt.savefig(output)
|
||||
plt.close(fig)
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
plot()
|
||||
25
python_scripts/normalization.py
Normal file
25
python_scripts/normalization.py
Normal file
@ -0,0 +1,25 @@
|
||||
import numpy as np
|
||||
import matplotlib.pyplot as plt
|
||||
import matplotlib
|
||||
from matplotlib.animation import FuncAnimation
|
||||
import ast
|
||||
|
||||
def plot():
|
||||
with open("data/probability_deviation.txt") as f:
|
||||
lines = f.readlines();
|
||||
x = []
|
||||
arr_narrow = []
|
||||
arr_wide = []
|
||||
for line in lines:
|
||||
tmp = line.strip().split(",")
|
||||
x.append(float(tmp[0]))
|
||||
arr_narrow.append(float(tmp[1]))
|
||||
arr_wide.append(float(tmp[2]))
|
||||
|
||||
plt.plot(x,arr_narrow)
|
||||
plt.plot(x,arr_wide)
|
||||
plt.savefig("latex/images/probability_deviation.pdf")
|
||||
|
||||
if __name__ == "__main__":
|
||||
plot()
|
||||
|
||||
69
src/main.cpp
69
src/main.cpp
@ -11,19 +11,14 @@
|
||||
* */
|
||||
#include "WaveSimulation.hpp"
|
||||
#include "utils.hpp"
|
||||
#include <fstream>
|
||||
|
||||
void probability_deviation()
|
||||
{
|
||||
WaveSimulation sim_narrow(.005, 2.5e-5, .008);
|
||||
sim_narrow.initialize_U(.25, .5, .05, .05, 200., 0.);
|
||||
sim_narrow.build_A();
|
||||
sim_narrow.build_B();
|
||||
WaveSimulation sim_narrow(.005, 2.5e-5, .008, .25, .5, .05, .05, 200., 0.);
|
||||
|
||||
WaveSimulation sim_wide(.005, 2.5e-5, .008);
|
||||
sim_wide.build_V(.02, .5, .05, .05, 2);
|
||||
sim_wide.initialize_U(.25, .5, .05, .10, 200., 0.);
|
||||
sim_wide.build_A();
|
||||
sim_wide.build_B();
|
||||
WaveSimulation sim_wide(.005, 2.5e-5, .008, .25, .5, .05, .10, 200., 0.,
|
||||
0.02, .5, .05, .05, 2);
|
||||
|
||||
std::ofstream ofile;
|
||||
utils::mkpath("data");
|
||||
@ -41,7 +36,8 @@ void probability_deviation()
|
||||
|
||||
sim_narrow.step();
|
||||
sim_wide.step();
|
||||
ofile << i << ',' << sum_narrow << ',' << sum_wide << '\n';
|
||||
ofile << i << ',' << utils::scientific_format(sum_narrow) << ','
|
||||
<< utils::scientific_format(sum_wide) << '\n';
|
||||
}
|
||||
|
||||
ofile.close();
|
||||
@ -49,11 +45,8 @@ void probability_deviation()
|
||||
|
||||
void color_map()
|
||||
{
|
||||
WaveSimulation sim(.005, 2.5e-5, .008);
|
||||
sim.build_V(.02, .5, .05, .05, 2);
|
||||
sim.initialize_U(.25, .5, .05, .10, 200., 0.);
|
||||
sim.build_A();
|
||||
sim.build_B();
|
||||
WaveSimulation sim(.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0., 0.02,
|
||||
.5, .05, .05, 2);
|
||||
|
||||
std::ofstream ofile;
|
||||
ofile.open("data/color_map.txt");
|
||||
@ -72,50 +65,56 @@ void color_map()
|
||||
|
||||
void detector_screen()
|
||||
{
|
||||
WaveSimulation sim(.005, 2.5e-5, .008);
|
||||
sim.build_V(.02, .5, .05, .05, 1);
|
||||
sim.initialize_U(.25, .5, .05, .10, 200., 0.);
|
||||
sim.build_A();
|
||||
sim.build_B();
|
||||
WaveSimulation *sim = new WaveSimulation(
|
||||
.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0., 0.02, .5, .05, .05, 1);
|
||||
|
||||
std::ofstream ofile;
|
||||
utils::mkpath("data/screen");
|
||||
ofile.open("data/screen/single_slit.txt");
|
||||
ofile << sim.N << '\n';
|
||||
ofile << sim->N << '\n';
|
||||
for (size_t i = 0; i < 80; i++) {
|
||||
sim.step();
|
||||
sim->step();
|
||||
}
|
||||
sim.write_U(ofile);
|
||||
sim->write_U(ofile);
|
||||
ofile.close();
|
||||
|
||||
sim.build_V(.02, .5, .05, .05, 2);
|
||||
sim.initialize_U(.25, .5, .05, .10, 200., 0.);
|
||||
delete sim;
|
||||
sim = new WaveSimulation(.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0.,
|
||||
0.02, .5, .05, .05, 2);
|
||||
|
||||
ofile.open("data/screen/double_slit.txt");
|
||||
ofile << sim.N << '\n';
|
||||
ofile << sim->N << '\n';
|
||||
for (size_t i = 0; i < 80; i++) {
|
||||
sim.step();
|
||||
sim->step();
|
||||
}
|
||||
sim.write_U(ofile);
|
||||
sim->write_U(ofile);
|
||||
ofile.close();
|
||||
|
||||
sim.build_V(.02, .5, .05, .05, 3);
|
||||
sim.initialize_U(.25, .5, .05, .10, 200., 0.);
|
||||
delete sim;
|
||||
sim = new WaveSimulation(.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0.,
|
||||
0.02, .5, .05, .05, 3);
|
||||
|
||||
ofile.open("data/screen/triple_slit.txt");
|
||||
ofile << sim.N << '\n';
|
||||
ofile << sim->N << '\n';
|
||||
for (size_t i = 0; i < 80; i++) {
|
||||
sim.step();
|
||||
sim->step();
|
||||
}
|
||||
sim.write_U(ofile);
|
||||
sim->write_U(ofile);
|
||||
ofile.close();
|
||||
}
|
||||
|
||||
int main()
|
||||
{
|
||||
probability_deviation();
|
||||
color_map();
|
||||
//probability_deviation();
|
||||
//color_map();
|
||||
detector_screen();
|
||||
|
||||
//std::ofstream ofile;
|
||||
//ofile.open("test.txt");
|
||||
//WaveSimulation sim(.005, 2.5e-5, .008, .25, .5, .05, .10, 200., 0.,
|
||||
//0.02, .5, .05, .05, 2);
|
||||
//sim.solve(ofile);
|
||||
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
Loading…
Reference in New Issue
Block a user